This might sound a bit random, but Cyberpunk 2077 has this sort of warmup sound that plays through the game startup sequence that always gets me relaxed or psyched up to play. Another example is the title song in Trails from Zero. Calms me every time.
Whether it's a sound effect, music, or a loading screen, is there a game that does this for you immediately when you open it?
Persona 4's title screen makes me feel emotional just listening to it. I played that game at a particular time in my life and that music just gets it going. Persona 3 FES' as well, actually, 5's isn't nearly as like... emotional